Increase size of column width in save dialogue short list view
Set the file display size to Large.


If you still can't read the labels, you will have to decrease the font size in the User Preferences.

Ctrl+Alt+U opens the User Preferences. Then go to the Themes rider and change the Points value under Widget Label: Kerning Style.



Right clicking on a folder/file item will display its name in the File Name box of the File Browser.